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4. On standard IQ tests, the mean is 100 with standard deviation 15. The results are...

4. On standard IQ tests, the mean is 100 with standard deviation 15. The results are very close to fitting a normal curve. Suppose the IQ test is given to a very large group of people. Find the percentage of people whose IQ score is: a) Greater than 130 b) Less than 85 c) Between 85 and 115. d) To join Mensa, one must be in the 98th percentile among all people taking the IQ test. What is the cut score to be in Mensa?

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